nLab
complemented lattice

Contents

Contents

Idea

An lattice is complemented if every element has a complement. It is orthocomplemented if it is equipped with an involution that sends each element to a complement.

Examples

These are both orthocomplemented:

References

  • Wikipedia, Complemented lattice

  • P. Pták and S. Pulmannová, Orthomodular structures as quantum logics, ser. Fundamental theories of physics. Kluwer Academic Publishers, 1991.

Last revised on December 26, 2014 at 15:41:01. See the history of this page for a list of all contributions to it.